What is the Least Common Multiple of 41640 and 41657?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 41640 and 41657 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41640 and 41657, than apply into the LCM equation.

GCF(41640,41657) = 1
LCM(41640,41657) = ( 41640 × 41657) / 1
LCM(41640,41657) = 1734597480 / 1
LCM(41640,41657) = 1734597480

Least Common Multiple (LCM) of 41640 and 41657 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41640 and 41657. First we will calculate the prime factors of 41640 and 41657.

Prime Factorization of 41640

Prime Factorization of 41657

Now multiplying the highest exponent prime factors to calculate the LCM of 41640 and 41657.

LCM(41640,41657) = 2³ × 3¹ × 5¹ × 347¹ × 7¹ × 11¹ × 541¹
LCM(41640,41657) = 1734597480